Uresti is one of Mexico's top television reporters, chairing presidential election debates and hosting an evening news programme.
The Jalisco New Generation cartel has surpassed 'El Chapo' Guzman's Sinaloa gang to become the most powerful in Mexico. It has blazed a bloody trail, killing judges, congressmen, dozens of police officers and thousands of civilians. Its members once shot down a military helicopter with a rocket-propelled grenade.
In a video shared on social media, a spokesperson for the group is surrounded by heavily armed men and says he is speaking on behalf of their leader, Rubén Oseguera Cervantes, known as El Mencho.
"I address this message directly to Milenio. I am not against freedom of expression, but I am against whoever attacks me directly,
"Azucena Uresti, wherever you are, I'll get you, and I will make you eat your words, even if they accuse me of femicide, because you do not know me: Rubén Oseguera Cervantes.
"I am not a debt collector or extortionist, nor am I a kidnapper."
The cartel spokesperson said that the vigilante groups were drug traffickers, kidnappers and extortionists and that only a criminal organisation could afford the military equipment those forces had at their disposal.
Azucena's recent reporting focused on the astonishing rise of armed vigilante groups who say they have taken up arms to defend themselves against the cartel.
One vigilante told Azucena that the cartel would "kill everyone" in the town if they managed to defeat those defending it.
Samuel D. Henkin, a professor at the University of Maryland and expert on Mexican cartels, told the Telegraph that the Jalisco group is known for the spectacular.
"It uses the media to its advantage, whether it is posting videos of militarised members to drum up attention or making threats online."
Uresti's report was "a blow to the cartel" because she legitimised the growing number of vigilante self-defence groups, he added, so they had to come out with a strong response.
On the rise of vigilante defenders, Henkin said: "Community policing has been traditional, particularly in southern Mexico, for centuries.
"But we are seeing an increase in the paramilitarisation of these groups.
"There is evidence showing that other criminal groups will supply so-called 'auto-defensas' with weaponry if it is advantageous to their overall positioning and competition in the space."
